137946859465728

Names of 137946859465728

• Cardinal: 137946859465728 can be written as One hundred thirty-seven trillion, nine hundred forty-six billion, eight hundred fifty-nine million, four hundred sixty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37946859465728 × 10¹⁴

Factors of 137946859465728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 611

Divisors of 137946859465728

• Number of divisors d(n): 330
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 587 608 722 768 912 1024 1083 1174 1216 1444 1536 1761 1824 2166 2348 2432 2888 3072 3522 3648 4332 4696 4864 5776 6859 7044 7296 8664 9392 9728 11153 11552 13718 14088 14592 17328 18784 19456 20577 22306 23104 27436 28176 29184 33459 34656 37568 41154 44612 46208 54872 56352 58368 66918 69312 75136 82308 89224 92416 109744 112704 130321 133836 138624 150272 164616 178448 184832 211907 219488 225408 260642 267672 277248 300544 329232 344569 356896 369664 390963 423814 438976 450816 521284 535344 554496 601088 635721 658464 689138 713792 781926 847628 877952 901632 1033707 1042568 1070688 1108992 1271442 1316928 1378276 1427584 1563852 1695256 1755904 1803264 2067414 2085136 2141376 2542884 2633856 2756552 2855168 3127704 3390512 3511808 4026233 4134828 4170272 4282752 5085768 5267712 5513104 5710336 6255408 6546811 6781024 7023616 8052466 8269656 8340544 8565504 10171536 10535424 11026208 11420672 12078699 12510816 13093622 13562048 16104932 16539312 16681088 17131008 19640433 20343072 21070848 22052416 24157398 25021632 26187244 27124096 32209864 33078624 33362176 34262016 39280866 40686144 44104832 48314796 50043264 52374488 54248192 64419728 66157248 66724352 76498427 78561732 81372288 88209664 96629592 100086528 104748976 108496384 124389409 128839456 132314496 133448704 152996854 157123464 162744576 176419328 193259184 200173056 209497952 216992768 229495281 248778818 257678912 264628992 305993708 314246928 325489152 352838656 373168227 386518368 400346112 418995904 458990562 497557636 515357824 529257984 611987416 628493856 650978304 746336454 773036736 837991808 917981124 995115272 1030715648 1058515968 1223974832 1256987712 1492672908 1546073472 1675983616 1835962248 1990230544 2061431296 2363398771 2447949664 2513975424 2985345816 3092146944 3351967232 3671924496 3980461088 4122862592 4726797542 4895899328 5027950848 5970691632 6184293888 6703934464 7090196313 7343848992 7960922176 9453595084 9791798656 10055901696 11941383264 12368587776 14180392626 14687697984 15921844352 18907190168 19583597312 20111803392 23882766528 28360785252 29375395968 31843688704 37814380336 39167194624 44904576649 47765533056 56721570504 58750791936 63687377408 75628760672 78334389248 89809153298 95531066112 113443141008 117501583872 127374754816 134713729947 151257521344 179618306596 191062132224 226886282016 235003167744 269427459894 302515042688 359236613192 382124264448 453772564032 538854919788 605030085376 718473226384 907545128064 1077709839576 1210060170752 1436946452768 1815090256128 2155419679152 2420120341504 2873892905536 3630180512256 4310839358304 5747785811072 7260361024512 8621678716608 11495571622144 17243357433216 22991143244288 34486714866432 45982286488576 68973429732864 137946859465728
• Sum of all divisors σ(n): 388767403326476
• Sum of proper divisors (its aliquot sum) s(n): 250820543860748
• 137946859465728 is an abundant number, because the sum of its proper divisors (250820543860748) is greater than itself. Its abundance is 112873684395020

Bases of 137946859465728

• Binary: 11111010111011001000001100011100110110000000000₂
• Hexadecimal: 0x7D76418E6C00
• Base-36: 1CWBWUFYTC

Squares and roots of 137946859465728

• 137946859465728 squared (137946859465728²) is 19029336036457310713606569984
• 137946859465728 cubed (137946859465728³) is 2625037143947290114116265295083040881508352
• The square root of 137946859465728 is 11745078.0953439385
• The cube root of 137946859465728 is 51669.8585405793

Scales and comparisons

• 137,946,859,465,728 seconds is equal to 4,386,283 years, 22 weeks, 3 days, 17 hours, 48 minutes, 48 seconds.
• To count from 1 to 137,946,859,465,728 would take you about ten million, nine hundred sixty-five thousand, seven hundred eight years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137946859465728 cubic inches would be around 4305.8 feet tall.

Recreational maths with 137946859465728

• 137946859465728 backwards is 827564958649731
• The number of decimal digits it has is: 15
• The sum of 137946859465728's digits is 84
• More coming soon!